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**Classification of exact solutions for some nonlinear partial differential equations with generalized evolution.**
*(English)*
Zbl 1247.35124

Summary: We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa-Holm-KP equation and KdV equation by the complete discrimination system for polynomial method. In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution.

### MSC:

35Q51 | Soliton equations |

35Q53 | KdV equations (Korteweg-de Vries equations) |

35C08 | Soliton solutions |

35C11 | Polynomial solutions to PDEs |

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\textit{Y. Pandir} et al., Abstr. Appl. Anal. 2012, Article ID 478531, 16 p. (2012; Zbl 1247.35124)

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### References:

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